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Beliebt Rechnen >

y^{''}+y^'-8y=9e^{3t}

Lösung

y^{^{''}} + y^{^{'}} - 8 y = 9 e^{3 t}

Lösung

y = c_{1} e^{\frac{( - 1 + 33 ) t}{2}} + c_{2} e^{\frac{( - 1 - 33 ) t}{2}} + \frac{9}{4} e^{3 t}

Schritte zur Lösung

y^{''} (t) + y^{'} (t) - 8 y = 9 e^{3 t}

Solve linear ODE:

y = c_{1} e^{\frac{( - 1 + 33 ) t}{2}} + c_{2} e^{\frac{( - 1 - 33 ) t}{2}} + \frac{9}{4} e^{3 t}

y = c_{1} e^{\frac{( - 1 + 33 ) t}{2}} + c_{2} e^{\frac{( - 1 - 33 ) t}{2}} + \frac{9}{4} e^{3 t}

Graph

Beliebte Beispiele

y^{''}+2y^'+y=18e^{2x}-4sin(x)-x^2

3y^{''}-2y-y=2t^2-t-3e^{-3t}

y^{''}-2y^'-15y=(6t+3tt+1)e^t

25y+12y^'+4y^{''}=-2

y^{'''}-y^'=4x^2+5x-2